Question
James earned a total of $900 last week. This total was $10 less than five times the amount he earned last week. How much money did James earn last week?
Answers
GPT-4o mini
Let's denote the amount of money James earned last week as \( x \).
According to the problem, the total amount he earned is expressed as:
\[
900 = 5x - 10
\]
Now, we can solve for \( x \):
1. Start by adding 10 to both sides of the equation:
\[
900 + 10 = 5x
\]
\[
910 = 5x
\]
2. Next, divide both sides by 5 to isolate \( x \):
\[
x = \frac{910}{5}
\]
\[
x = 182
\]
Therefore, James earned **$182** last week.
To verify, we can check:
- Five times the amount he earned: \( 5 \times 182 = 910 \)
- According to the problem, $10 less than this is \( 910 - 10 = 900 \), which matches the total he earned.
Thus, the solution is confirmed: James earned **$182** last week.
According to the problem, the total amount he earned is expressed as:
\[
900 = 5x - 10
\]
Now, we can solve for \( x \):
1. Start by adding 10 to both sides of the equation:
\[
900 + 10 = 5x
\]
\[
910 = 5x
\]
2. Next, divide both sides by 5 to isolate \( x \):
\[
x = \frac{910}{5}
\]
\[
x = 182
\]
Therefore, James earned **$182** last week.
To verify, we can check:
- Five times the amount he earned: \( 5 \times 182 = 910 \)
- According to the problem, $10 less than this is \( 910 - 10 = 900 \), which matches the total he earned.
Thus, the solution is confirmed: James earned **$182** last week.